Question

Direct substitution into differential equation

Options:
A. "Direct substitution into a differential equation streamlines the process, facilitating efficient solution methods."
B. "Substituting values directly into a differential equation is discouraged, as it may lead to inaccuracies."
C. "The process of direct substitution into a differential equation involves replacing variables with known values."
D. "Differential equations are solved without direct substitution, emphasizing more sophisticated solution approaches."

Answer 1

Direct substitution into a differential equation involves replacing variables with known values to simplify the equation and obtain numerical solutions. Consistent units must be used to ensure accuracy.

Step-by-step explanation:

Direct substitution into a differential equation involves replacing variables with known values. This process simplifies the equation and allows for a more efficient solution. By substituting values directly into the equation, you can obtain numerical solutions with units. It is important to ensure that the units are consistent throughout the calculation to avoid errors.